1. Use the tabulated solutions: Calculate the critical buckling stress for each of the flat plates shown. All are made from steel with E = 29 X 106 psi and v= 0.30 and are 3/16 inch thick. All edges are simply supported.
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- Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.Question 1. P T The figure (not drawn to scale) shows a cylindrical column submitted to a combined load: a compression of and torsion. Given column diameter d = 29 mm, compressive load p = 110 kN, and torque T = 500 N.m, calculate the maximum shear stress Tuast and the Von Mises stress ov Enter your answers in the boxes below, correct to one decimal place. The answers are acceptable within a tolerance of 1 MPa. Tmax [ MPa MPa OVM:gure 1 shows a compound bar with three different diameters, d1-9mm, d2-22mm, and d3-14mm machined from solid aluminium alloy stock, subjected to a tensile load of 30kN. If Young's odulus for the alloy is 69GPA determine the stress in section 2. Answer to be provided in MPa, correct to three decimal places - do not include a unit with your answer. L1 L2 L3 d2 d3 P Figure 1
- A 2.4 diameter steel molding is lifted by 4 steel cables as shown. The mold weighs 3 kN/m. (a) what is the required diameter of wire that will not exceed the allowable stress of 120 MPa. and (b) if the wire diameter increase by 20%, find the vertical displacement of the molding. 24mure 1 shows a compound bar with three different diameters, d1-9mm, d2-22mm, and d3-14mm machined from solid aluminium alloy stock, subjected to a tensile load of 30KN. If Young's odulus for the alloy is 69GPa determine the stress in section 2. Answer to be provided in MPa, correct to three decimal places - do not include a unit with your answer. L1 L2 L3 d2 d3ure 1 shows a compound bar with three different diameters, d1-9mm, d2-22mm, and d3-14mm machined from solid aluminium alloy stock, subjected to a tensile load of 30KN. If Young's odulus for the alloy is 69GPa determine the stress in section 2. Answer to be provided in MPa, correct to three decimal places - do not include a unit with your answer. L1 L2 L3 d2 d3 Figure 1
- (b) Determine the thickness of a plain cylinder head for 0.3m cylinder. The maximum gas pressure is approximately 3.2N/mm. Design the studs also for the cylinder cover. Assume the allowable hoop stress =42 N/mm' for cast iron; the allowable tensile stress for material of studs =63 N/mm?Bar (1) in Figure PP1.2-6 has a cross-sectional area of 0.75 in.². If the stress in bar (1) must be limited to 30 ksi, determine the maximum load P that may be supported by the structure. Answer in kips rounded-off to 2 decimal n 6 ft B (1) Figure PP1.2-6 4 ft 5 OF 6 QUESTIONS REMAI10/10 find the tensile stress in upper plate in section 3-3 5. 1 4 80 kN 80 kN 8-bolt DIA. 10 MM 80 kN 80 kN 8-bolt DIA. 10 MM 2) 300 mm 8 mm
- For the stresses given with the cube below: 1. Compute the center, radius (R), principal normal stresses (0₁ and 03), max shear stress (Tmax) and draw the Mohr's Circle. 2. Compute the normal and shear stresses when the cube is rotated 20° clockwise from the horizontal plane and draw them on the cube. 3. The yield point stress (σyp) is 6 kPa. Determine if the material will fail under stresses shown using Tresca's Hexagon. вкра акра 6 экра 8 кра экра 4краA round steel bar with a diameter of 1.500 in is subjected to the axial loads shown. P1 = 95 k, P2 = 115 k, P3= 55 k, P4 = (P1-P2+P3) k. If Section 2 has a length, L2 = 65 inches, find the change in length of Section 2. Report the answer below in inches, absolute value, 3 significant digits. P1 Your Answer: 100 inches Round Steel Bar P2 Section 2 12 P3 80 inches P4QUESTION 4 Figure 3 below shows a vertical rod under its own weight. Find the displacement at A and stress distribution. Use E-100 MPa and weight per unit volume 0.06 N/cm³. Solve using two elements and comment on the stress distribution. 1.6 m 1m A Area = 2500 cm² 8 B Area = 1500 cm²